3. Comparison with another software

3.1. 2-parameter logistic model
3.2. 3-parameter logistic model
3.3. 1-parameter logistic model
3.4. Graded response model
3.5. Nominal response model

3.1. 2-parameter logistic model

Data

"Sampledata.dat" ( attached in EasyEstimation.zip)
Number of items is 20.
Number of subjects is 1000.

Software

EasyEstimation	Ver.1.4.3.
BILOG-MG	">CALIB NQPT=31,CYCLES=20,NEWTON=20,NOSPRIOR;"
R	ltm package

Result

	EasyEstimation		BILOG-MG		R
item	slope	location	slope	location	slope	location
item001	0.618	-0.364	0.616	-0.365	0.619	-0.364
item002	0.746	-1.293	0.745	-1.297	0.745	-1.294
item003	1.082	0.260	1.080	0.262	1.083	0.260
item004	1.206	1.223	1.204	1.227	1.206	1.222
item005	0.988	1.163	0.986	1.167	0.988	1.162
item006	0.750	1.891	0.748	1.899	0.749	1.893
item007	0.613	-2.151	0.611	-2.158	0.612	-2.154
item008	0.657	-0.308	0.655	-0.308	0.657	-0.308
item009	0.810	1.205	0.808	1.210	0.808	1.206
item010	1.105	-1.088	1.103	-1.091	1.107	-1.088
item011	1.279	-0.735	1.277	-0.737	1.282	-0.735
item012	1.272	-1.624	1.269	-1.629	1.270	-1.625
item013	1.018	-1.680	1.015	-1.686	1.018	-1.680
item014	0.692	-0.909	0.691	-0.911	0.692	-0.909
item015	0.454	-0.827	0.453	-0.829	0.454	-0.827
item016	0.618	-2.610	0.617	-2.620	0.618	-2.613
item017	0.931	-0.599	0.929	-0.600	0.932	-0.599
item018	1.251	-0.395	1.249	-0.396	1.247	-0.396
item019	0.904	0.188	0.902	0.189	0.904	0.188
item020	1.107	-0.269	1.105	-0.269	1.109	-0.269

* In R results, "slope" values were divided by "1.702".

3.2. 3-parameter logistic model

Data

It is same as above 3.1.

Software

It is same as above 3.1.

Result

	EasyEstimation			BILOG-MG			R
item	slope	location	asymptote	slope	location	asymptote	slope	location	asymptote
item001	0.736	-0.039	0.137	0.735	-0.036	0.137	0.619	-0.362	0.000
item002	0.817	-0.999	0.165	0.815	-1.000	0.165	0.744	-1.293	0.000
item003	1.236	0.351	0.051	1.235	0.354	0.051	1.083	0.263	0.000
item004	1.428	1.214	0.021	1.430	1.217	0.021	1.258	1.212	0.003
item005	1.192	1.168	0.030	1.194	1.171	0.030	1.055	1.152	0.007
item006	1.101	1.755	0.039	1.105	1.757	0.039	0.880	1.818	0.015
item007	0.654	-1.783	0.200	0.652	-1.789	0.200	0.690	-1.576	0.287
item008	0.836	0.050	0.155	0.836	0.054	0.156	0.771	-0.069	0.104
item009	1.041	1.222	0.046	1.043	1.226	0.046	0.811	1.204	0.000
item010	1.204	-0.914	0.127	1.199	-0.915	0.127	1.106	-1.086	0.000
item011	1.443	-0.577	0.107	1.439	-0.576	0.108	1.280	-0.731	0.000
item012	1.346	-1.481	0.150	1.337	-1.487	0.149	1.263	-1.630	0.000
item013	1.076	-1.483	0.169	1.071	-1.487	0.169	1.009	-1.688	0.000
item014	0.750	-0.659	0.128	0.748	-0.659	0.128	0.692	-0.908	0.000
item015	0.547	-0.265	0.190	0.547	-0.262	0.190	0.454	-0.819	0.003
item016	0.658	-2.237	0.209	0.655	-2.246	0.209	0.886	-1.127	0.608
item017	1.007	-0.438	0.095	1.003	-0.438	0.094	0.930	-0.596	0.000
item018	1.346	-0.297	0.062	1.342	-0.295	0.062	1.248	-0.391	0.000
item019	1.092	0.339	0.079	1.092	0.343	0.080	0.944	0.221	0.017
item020	1.173	-0.175	0.056	1.170	-0.173	0.056	1.106	-0.265	0.000

* In R results, "slope" values were divided by "1.702".
** In R, "Warning message: In tpm(data): Hessian matrix at convergence is not positive definite; unstable solution." was displayed.

3.3. 1-parameter logistic model

Data

It is same as above 3.1.

Software

It is same as above 3.1.

Result

	EasyEstimation		BILOG-MG		R
項目番号	slope	location	slope	location	slope	location
item001	0.857	-0.299	0.858	-0.298	0.858	-0.301
item002	0.857	-1.194	0.858	-1.194	0.858	-1.195
item003	0.857	0.287	0.858	0.288	0.858	0.285
item004	0.857	1.444	0.858	1.446	0.858	1.440
item005	0.857	1.253	0.858	1.256	0.858	1.250
item006	0.857	1.748	0.858	1.752	0.858	1.745
item007	0.857	-1.736	0.858	-1.737	0.858	-1.736
item008	0.857	-0.264	0.858	-0.262	0.858	-0.265
item009	0.857	1.168	0.858	1.170	0.858	1.165
item010	0.857	-1.237	0.858	-1.237	0.858	-1.238
item011	0.857	-0.889	0.858	-0.888	0.858	-0.890
item012	0.857	-1.957	0.858	-1.958	0.858	-1.957
item013	0.857	-1.838	0.858	-1.839	0.858	-1.838
item014	0.857	-0.803	0.858	-0.802	0.858	-0.804
item015	0.857	-0.539	0.858	-0.538	0.858	-0.540
item016	0.857	-2.110	0.858	-2.111	0.858	-2.110
item017	0.857	-0.630	0.858	-0.629	0.858	-0.631
item018	0.857	-0.478	0.858	-0.477	0.858	-0.479
item019	0.857	0.190	0.858	0.192	0.858	0.188
item020	0.857	-0.311	0.858	-0.310	0.858	-0.312

* In R results, "slope" values were divided by "1.702".

3.4. Graded response model

Data

"SampleData.dat" ( attached in EasyEstGRM.zip)
Number of items is 10.
Number of subjects is 1000.

Software

EasyEstGRM	Ver.0.3.6.
PARSCALE	">CALIB GRA,LOGISTIC,SCALE=1.7,CYCLES=(200,1,1,1,1,1);"
R	ltm package

Result

	EasyEstGRM
item	slope	step1	step2	step3	step4
item001	0.660	-4.144	-2.737	-1.468	-0.067
item002	0.958	-2.305	-1.557	-0.832	0.136
item003	1.395	-1.938	-1.114	-0.422	0.327
item004	1.487	-1.460	-0.755	-0.065	0.774
item005	1.852	-1.039	-0.341	0.339	1.035
item006	0.830	-1.178	-0.163	0.751	1.756
item007	1.192	-0.419	0.424	1.125	1.942
item008	1.423	0.005	0.793	1.528	2.186
item009	1.495	0.368	1.385	2.043	2.710
item010	1.611	0.748	1.570	2.547	3.252

	PARSCALE
item	slope	step1	step2	step3	step4
item001	0.662	-4.151	-2.745	-1.477	-0.078
item002	0.960	-2.314	-1.567	-0.843	0.124
item003	1.398	-1.948	-1.124	-0.432	0.316
item004	1.491	-1.470	-0.765	-0.075	0.762
item005	1.860	-1.049	-0.351	0.327	1.021
item006	0.832	-1.188	-0.173	0.739	1.743
item007	1.195	-0.429	0.413	1.113	1.928
item008	1.428	-0.006	0.780	1.514	2.171
item009	1.500	0.357	1.371	2.029	2.695
item010	1.617	0.736	1.556	2.532	3.236

	R
item	slope	step1	step2	step3	step4
item001	0.659	-4.109	-2.697	-1.423	-0.016
item002	0.951	-2.272	-1.518	-0.787	0.189
item003	1.388	-1.901	-1.070	-0.372	0.383
item004	1.483	-1.420	-0.708	-0.011	0.830
item005	1.810	-1.000	-0.289	0.397	1.096
item006	0.824	-1.136	-0.112	0.808	1.818
item007	1.181	-0.370	0.479	1.184	2.004
item008	1.401	0.058	0.852	1.590	2.252
item009	1.488	0.424	1.440	2.097	2.767
item010	1.616	0.803	1.621	2.594	3.298

* In R results, "slope" values were divided by "1.702".

3.5. Nominal response model

Data

"Sampledata.dat" ( attached in EasyNominal.zip)
Number of items is 10.
Number of subjects is 5000.

Software

EasyNominal	Ver.0.3.5.
MULTILOG	">TGROUPS NUMBER=31, QP = same as "NDIST.dat"(attached in EasyNominal.zip). "

Result

	EasyNominal
item	parameter	category1	category2	category3	category4	category5
item001	A	0.12	1.14	-0.49	-0.32	-0.45
item001	C	-0.91	1.99	-1.07	-1.10	1.09
item002	A	0.27	-0.31	1.05	-0.54	-0.47
item002	C	0.30	0.54	0.83	-0.11	-1.56
item003	A	0.20	0.66	-0.55	-0.31
item003	C	0.22	0.48	-0.90	0.20
item004	A	-1.35	1.18	0.35	-1.63	1.45
item004	C	-2.27	1.92	-0.01	-1.51	1.87
item005	A	-0.55	-0.19	0.20	0.54
item005	C	-0.02	0.71	0.81	-1.51
item006	A	-0.42	0.97	0.27	-0.82	0.00
item006	C	0.09	0.75	0.42	-0.81	-0.46
item007	A	-0.75	0.09	-0.10	1.08	-0.33
item007	C	-1.39	0.61	-0.50	1.48	-0.20
item008	A	0.64	-0.75	-0.48	0.76	-0.18
item008	C	-1.74	-1.33	0.07	2.27	0.72
item009	A	0.20	0.72	-1.02	0.10
item009	C	0.25	0.62	-0.66	-0.21
item010	A	-0.62	-0.16	-0.31	0.69	0.41
item010	C	-0.21	-0.29	0.21	-1.18	1.46

	MULTILOG
item	parameter	category1	category2	category3	category4	category5
item001	A	0.12	1.14	-0.49	-0.32	-0.45
item001	C	-0.91	1.99	-1.07	-1.10	1.09
item002	A	0.27	-0.31	1.05	-0.54	-0.47
item002	C	0.30	0.54	0.83	-0.11	-1.56
item003	A	0.20	0.66	-0.55	-0.31
item003	C	0.22	0.48	-0.90	0.20
item004	A	-1.36	1.20	0.36	-1.67	1.47
item004	C	-2.28	1.94	0.00	-1.55	1.89
item005	A	-0.55	-0.19	0.20	0.54
item005	C	-0.02	0.71	0.81	-1.51
item006	A	-0.42	0.97	0.27	-0.82	0.00
item006	C	0.09	0.75	0.42	-0.81	-0.46
item007	A	-0.75	0.09	-0.10	1.08	-0.33
item007	C	-1.39	0.61	-0.50	1.48	-0.20
item008	A	0.64	-0.75	-0.48	0.76	-0.18
item008	C	-1.74	-1.33	0.07	2.27	0.72
item009	A	0.20	0.72	-1.02	0.10
item009	C	0.25	0.62	-0.66	-0.21
item010	A	-0.62	-0.16	-0.31	0.69	0.41
item010	C	-0.21	-0.29	0.21	-1.18	1.46